What is the general solution for sin(x)= 3/5 ?

The general solution for sin(x)= 3/5 is x=0.64350…+2pin,x=pi-0.64350…+2pin

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sin(x)= 3/5

sin (x) = \frac{3}{5}

x = 0.64350 \dots + 2 πn, x = π - 0.64350 \dots + 2 πn

Degrees

x = 36.86989 \dots^{\circ} + 36 0^{\circ} n, x = 143.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{3}{5}

Apply trig inverse properties

sin (x) = \frac{3}{5}

General solutions for

sin (x) = \frac{3}{5}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{3}{5}) + 2 πn, x = π - arcsin (\frac{3}{5}) + 2 πn

x = arcsin (\frac{3}{5}) + 2 πn, x = π - arcsin (\frac{3}{5}) + 2 πn

Show solutions in decimal form

x = 0.64350 \dots + 2 πn, x = π - 0.64350 \dots + 2 πn

cos (2 θ) = 2 cos^{2} (θ) - 1

sin (\frac{7 π}{8})

sin (\frac{4 π}{3})

sin^{2} (x) = 3 cos^{2} (x)

sin (- π)

What is the general solution for sin(x)= 3/5 ?
The general solution for sin(x)= 3/5 is x=0.64350…+2pin,x=pi-0.64350…+2pin